Ask your own question, for FREE!
Mathematics 17 Online
OpenStudy (anonymous):

Factor and simplify the algebraic expression https://i.gyazo.com/a7909aa9524c6a673dc55292a2e30b32.png

OpenStudy (anonymous):

\[(x+3)^{(-1/5)}-(x+3)^{-6/5}\]

OpenStudy (astrophysics):

|dw:1450334042814:dw|

OpenStudy (astrophysics):

So note that we get \[\frac{ 1 }{ (x+3)^{1/5} }-\frac{ 1 }{ (x+3)^{6/5} }\] by using \[x^{-n} = \frac{ 1 }{ x^n }\]

OpenStudy (anonymous):

that's what i don't know how to do

OpenStudy (astrophysics):

You can simplify it now since we have two fractions \[\frac{ a }{ b } \pm \frac{ c }{ d } = \frac{ ad \pm bc }{ bd } \]

OpenStudy (anonymous):

???

OpenStudy (astrophysics):

It's just algebra at this point

OpenStudy (anonymous):

i'm confused with the (x+3)

OpenStudy (astrophysics):

\[\frac{ 1 }{ (x+3)^{1/5} }-\frac{ 1 }{ (x+3)^{6/5} } \implies \frac{ (x+3)^{6/5}-(x+3)^{1/5} }{ (x+3)^{1/5}(x+3)^{6/5} }\]

OpenStudy (astrophysics):

It's the same thing if you were using regular numbers

OpenStudy (anonymous):

what do I do with the fractional exponents?

OpenStudy (astrophysics):

What about them

OpenStudy (astrophysics):

It just wants positive exponents

OpenStudy (astrophysics):

You can simplify it a bit more if you want

OpenStudy (astrophysics):

Use your exponent rules for denominator \[x^nx^m = x^{n+m}\]

OpenStudy (anonymous):

but isn't it subtraction?

OpenStudy (astrophysics):

The denominator is being multiplied

OpenStudy (anonymous):

can someone explain?

OpenStudy (anonymous):

why is the denominator being multiplied?

OpenStudy (anonymous):

someone help please

OpenStudy (astrophysics):

I showed you the algebra rule, that's all I used \[\frac{ a }{ b } \pm \frac{ c }{ d } = \frac{ ad \pm bc }{ bd } \]

OpenStudy (astrophysics):

b = (x+3)^(1/5) and d = (x+3)^(6/5) please try it yourself

OpenStudy (anonymous):

that's exactly the part i don't get. What do I do with the (x+3) raised to the fractional exponent?

OpenStudy (astrophysics):

Sorry I'm not sure where you're confused

OpenStudy (astrophysics):

Can you draw it or use equation bar

OpenStudy (anonymous):

all I have is \[\frac{ 1 }{ (x+3) }^{1/5}-\frac{1}{(x+3)}^{6/5}\]

OpenStudy (anonymous):

oops the exponents are in the denominator

OpenStudy (anonymous):

i don't know what to do after that

OpenStudy (astrophysics):

It's just like fractions the little rule I showed you is just how you do fractions normally, find common denominator and such..

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Latest Questions
MakaylaChuck23: Help wats this
3 hours ago 2 Replies 0 Medals
MakaylaChuck23: uh oh
6 hours ago 1 Reply 0 Medals
Treeko: Pics I took w my friend !
7 hours ago 6 Replies 2 Medals
Aliciaa: Is anyone elses QC going wack? Mine keeps freezing and stuff
6 hours ago 26 Replies 1 Medal
autumnp: does anyone have bandlab?
8 hours ago 4 Replies 0 Medals
Jeromeccv: Art for @vanessad123
5 hours ago 49 Replies 4 Medals
ohhhhhhhhhhhhhh: how do i slim my waist fast
8 hours ago 4 Replies 1 Medal
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!